Highest Common Factor of 966, 161, 99 using Euclid's algorithm
Created By : Jatin Gogia
Reviewed By : Rajasekhar Valipishetty
Last Updated : Apr 06, 2023
HCF Calculator using the Euclid Division Algorithm helps you to find the Highest common factor (HCF) easily for 966, 161, 99 i.e. 1 the largest integer that leaves a remainder zero for all numbers.
HCF of 966, 161, 99 is 1 the largest number which exactly divides all the numbers i.e. where the remainder is zero. Let us get into the working of this example.
Consider we have numbers 966, 161, 99 and we need to find the HCF of these numbers. To do so, we need to choose the largest integer first and then as per Euclid's Division Lemma a = bq + r where 0 ≤ r ≤ b
Highest common factor (HCF) of 966, 161, 99 is 1.
HCF(966, 161, 99) = 1
HCF of 966, 161, 99 using Euclid's algorithm
Highest common factor or Highest common divisor (hcd) can be calculated by Euclid's algotithm.
Highest common factor (HCF) of 966, 161, 99 is 1.
Highest Common Factor of 966,161,99 is 1
Step 1: Since 966 > 161, we apply the division lemma to 966 and 161, to get
966 = 161 x 6 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 161, the HCF of 966 and 161 is 161
Notice that 161 = HCF(966,161) .
We can take hcf of as 1st numbers and next number as another number to apply in Euclidean lemma
Step 1: Since 161 > 99, we apply the division lemma to 161 and 99, to get
161 = 99 x 1 + 62
Step 2: Since the reminder 99 ≠ 0, we apply division lemma to 62 and 99, to get
99 = 62 x 1 + 37
Step 3: We consider the new divisor 62 and the new remainder 37, and apply the division lemma to get
62 = 37 x 1 + 25
We consider the new divisor 37 and the new remainder 25,and apply the division lemma to get
37 = 25 x 1 + 12
We consider the new divisor 25 and the new remainder 12,and apply the division lemma to get
25 = 12 x 2 + 1
We consider the new divisor 12 and the new remainder 1,and apply the division lemma to get
12 = 1 x 12 + 0
The remainder has now become zero, so our procedure stops. Since the divisor at this stage is 1, the HCF of 161 and 99 is 1
Notice that 1 = HCF(12,1) = HCF(25,12) = HCF(37,25) = HCF(62,37) = HCF(99,62) = HCF(161,99) .
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Frequently Asked Questions on HCF of 966, 161, 99 using Euclid's Algorithm
1. What is the Euclid division algorithm?
Answer: Euclid's Division Algorithm is a technique to compute the Highest Common Factor (HCF) of given positive integers.
2. what is the HCF of 966, 161, 99?
Answer: HCF of 966, 161, 99 is 1 the largest number that divides all the numbers leaving a remainder zero.
3. How to find HCF of 966, 161, 99 using Euclid's Algorithm?
Answer: For arbitrary numbers 966, 161, 99 apply Euclid’s Division Lemma in succession until you obtain a remainder zero. HCF is the remainder in the last but one step.